Has anyone figured out a Formula for PC wealth?

[ergeheilalt]

Hello Folks,

A friend of mine is wanting to create a character above 41st level and no core books give rules for wealth going above level 40. I was wondering if anybody had figured out the formula for this.

Thanks,
Erge

 

[Crothian]

There is no formula that I've seen or heard of. Best guest seems best.

 

[ichabod]

Well, polynomial regression on the epic level starting equipment gives y = 12701.06 - 1169.17 * x +29.62 * x^2, where x is the level and y is the starting equipment in 1,000s of gp. However, it is a bit low at 40th level, and the difference would tend to increase with extrapolation to the point of possible significance. Adding in a cubic term gives y = - 11740 +1345 * x - 54.61 * x^2 + 0.9206 * x^3, which has a mean squared error a couple of magnitudes lower. I'd use the cubic function and round to the nearest 100,000 gp.

 

[CRGreathouse]

Eh. Upper level epic wealth (25+) is very nearly quadratic, moreso if you add an even/odd compensating factor (+a when odd, +0 when even).

Using the regressed formula, I get 15,100,000 gp for 41st level baseline. Continuing, in millions of gp:

40 13.6
41 15.1
42 16.6
43 18.3
44 20
45 21.9
46 23.8
47 25.9
48 28
49 30.3
50 32.6
51 35.1
52 37.6
53 40.3
54 43
55 45.9
56 48.8
57 51.9
58 55
59 58.3
60 61.6
61 65.1
62 68.6
63 72.3
64 76
65 79.9
66 83.8
67 87.9
68 92
69 96.3
70 100.6
71 105.1
72 109.6
73 114.3
74 119
75 123.9
76 128.8
77 133.9
78 139
79 144.3
80 149.6
81 155.1
82 160.6
83 166.3
84 172
85 177.9
86 183.8
87 189.9
88 196
89 202.3
90 208.6
91 215.1
92 221.6
93 228.3
94 235
95 241.9
96 248.8
97 255.9
98 263
99 270.3
100 277.6

Interestingly, the encounter wealth table doesn't follow a quadratic pattern in favor of an exponentional pattern, so it's incomparable -- one EL 100 encounter is supposed to give over 160,000,000 gp...

 

[Ferox4]

Well, polynomial regression on the epic level starting equipment gives y = 12701.06 - 1169.17 * x +29.62 * x^2, where x is the level and y is the starting equipment in 1,000s of gp. However, it is a bit low at 40th level, and the difference would tend to increase with extrapolation to the point of possible significance. Adding in a cubic term gives y = - 11740 +1345 * x - 54.61 * x^2 + 0.9206 * x^3, which has a mean squared error a couple of magnitudes lower. I'd use the cubic function and round to the nearest 100,000 gp.

Is this going to be on the test?

 

[CRGreathouse]

Is this going to be on the test?

No, because be said it's cubic when it's OBVIOUSLY quadratic.

 

[Chronosome]

Wealth level is funny.